Strong stability of bounded evolution families and semigroups

We prove several characterizations of strong stability of uniformly bounded evolution families (U(t, s))t≥s≥0 of bounded operators on a Banach space X, i.e. we characterize the property limt→∞U(t, s)x = 0 for all s ≥ 0 and all x ε X. These results are connected to the asymptotic stability of the wel...

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Bibliographic Details
Main Authors: Batty, C, Chill, R, Tomilov, Y
Format: Journal article
Language:English
Published: Elsevier 2002